Concept explainers
(a)
Write the expression for the function given in Figure P12.1 (a) using step functions.
(a)
Answer to Problem 1P
The expression for the given function is
Explanation of Solution
Given data:
Refer to Figure P12.1 (a) in the textbook for the given function.
Calculation:
The function in Figure P12.1 (a) is a piecewise linear function
Write the piecewise-linear definition for the function as follows:
Form a single continuous definition for the function using step function as follows:
Use the values and write the expression for
Rearrange the expression as follows:
Conclusion:
The expression for the given function is
(b)
Write the expression for the function given in Figure P12.1 (b) using step functions.
(b)
Answer to Problem 1P
The expression for the given function is
Explanation of Solution
Given data:
Refer to Figure P12.1 (b).in the textbook for the given function.
Calculation:
The function in Figure P12.1 (b) is a piecewise linear function
Write the piecewise-linear definition for the function as follows:
Form a single continuous definition for the function using step function as follows:
Use the values and write the expression for
Rearrange the expression as follows:
Conclusion:
The expression for the given function is
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Chapter 12 Solutions
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